Virtual clustering analysis for phase field model of quasi-static brittle fracture

IF 3.7 2区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Mechanics Pub Date : 2024-03-13 DOI:10.1007/s00466-024-02459-3

Shaoqiang Tang, Jingcheng Miao

引用次数: 0

Abstract

In this paper, we develop a Virtual Clustering Analysis method for a phase field model of brittle fracture. In addition to the strain/stress field, we treat the phase field variable via clusters as well, based on Green’s function of the governing Helmholtz equation. Around the crack path, we assign one cluster per cell. We detect the crack tip and recluster accordingly as the crack propagates. Three examples are presented to demonstrate the numerical efficiency of the proposed method, including either straight or curved crack, under tension or shear.

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准静态脆性断裂相场模型的虚拟聚类分析

本文针对脆性断裂的相场模型开发了一种虚拟聚类分析方法。除了应变/应力场之外，我们还根据亥姆霍兹方程的格林函数，通过聚类来处理相场变量。在裂纹路径周围，我们为每个单元分配一个簇。我们检测裂纹尖端，并在裂纹扩展时相应地重新聚类。本文列举了三个例子来证明所提方法的数值效率，包括拉伸或剪切条件下的直线或曲线裂纹。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Mechanics 物理-力学

CiteScore

7.80

自引率

12.20%

发文量

122

审稿时长

3.4 months

期刊介绍： The journal reports original research of scholarly value in computational engineering and sciences. It focuses on areas that involve and enrich the application of mechanics, mathematics and numerical methods. It covers new methods and computationally-challenging technologies. Areas covered include method development in solid, fluid mechanics and materials simulations with application to biomechanics and mechanics in medicine, multiphysics, fracture mechanics, multiscale mechanics, particle and meshfree methods. Additionally, manuscripts including simulation and method development of synthesis of material systems are encouraged. Manuscripts reporting results obtained with established methods, unless they involve challenging computations, and manuscripts that report computations using commercial software packages are not encouraged.